Full list of all 35 Fallout Shelter achievements worth 1,000 gamerscore. It takes around 80-100 hours to unlock all of the achievements on Xbox One.
Collected 20 Legendary Outfits
Crafted 10 Weapons
Collected 20 Legendary Weapons
Crafted every Theme
Changed the appearance of 10 Dwellers in the Barbershop
Built 1 of every room type
Crafted an Outfit, a Weapon and a Theme
Completed 100 Quests
Completed 60 Quests
Scrapped 500 items
Leveled up a Dweller from level 1 to 50
Collected all Fragments of 4 Theme Recipes
Collected 100 Stimpaks and 100 RadAway on Quests
Upgraded 20 Rooms to Level 3
Collected all Fragments of a Theme Recipe
Completed 30 Quests
Successfully completed 50 Room Rushes
Made 25 dialogue choices on Quests
Crafted 10 Outfits
Killed 500 enemies on Quests
Made 25 Babies
Built 50 rooms
Successfully stopped 50 Raider Attacks
Completed 10 Quests
Killed 10 Quest Bosses
Leveled up a dweller from Level 1 to 25
Built 25 rooms
Merged 3 Water Rooms
Merged 3 Food Rooms
Merged 3 Power Rooms
Collected 10,000 Caps
Leveled up a dweller from Level 1 to 10
Collected 1,000 Caps
Collect 20 Legendary Dwellers
Complete 100 objectives